Coefficient Estimates and Fekete–Szegö Functional Inequalities for a Certain Subclass of Analytic and Bi-Univalent Functions

Coefficient Estimates and Fekete–Szegö Functional Inequalities for a Certain Subclass of Analytic and Bi-Univalent Functions

The present paper introduces a new class of bi-univalent functions defined on a symmetric domain using Gegenbauer polynomials. For functions in this class, we have derived the estimates of the Taylor–Maclaurin coefficients, a2 and a3, and the Fekete-Szegö functional. Several new results follow upon...

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Veröffentlicht in:Axioms 2022-04, Vol.11 (4), p.147
Hauptverfasser: Illafe, Mohamed, Amourah, Ala, Haji Mohd, Maisarah
Format: Artikel
Sprache:eng
Schlagworte:
analytic functions
bi-univalent functions
Convex analysis
Estimates
Fekete–Szegö problem
Functionals
Functions (mathematics)
Gegenbauer polynomials
Mathematical analysis
Ordinary differential equations
Polynomials
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Beschreibung
Zusammenfassung:The present paper introduces a new class of bi-univalent functions defined on a symmetric domain using Gegenbauer polynomials. For functions in this class, we have derived the estimates of the Taylor–Maclaurin coefficients, a2 and a3, and the Fekete-Szegö functional. Several new results follow upon specializing the parameters involved in our main results.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms11040147